University of Birmingham > Talks@bham > Algebra Seminar > Finite groups of Lie type as Galois groups over rational numbers

Finite groups of Lie type as Galois groups over rational numbers

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Let l be a rational prime. In a work with Khare and Larsen we proved that the groups of Lie type Bn, Cn and G2 over the finite field of order lk appear as Galois groups over rational numbers for infinitely many k. The main tool is l-adic representations attached to automorphic representations. Our approach consists of carefully constructing automorphic representations so that the corresponding l-adic representations give desired Galois groups.

This talk is part of the Algebra Seminar series.

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